Information on Result #801412
Digital (6, 13, 82)-net over F9, using base reduction for projective spaces (embedding PG(6,81) in PG(12,9)) for nets based on digital (0, 7, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (19, 26, 164)-net over F3 | [i] | Trace Code for Nets | |
| 2 | Digital (105, 119, 2396824)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (112, 127, 2396824)-net over F9 | [i] | ||
| 4 | Digital (17, 24, 738)-net over F9 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 5 | Linear OOA(913, 82, F9, 2, 7) (dual of [(82, 2), 151, 8]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(913, 82, F9, 3, 7) (dual of [(82, 3), 233, 8]-NRT-code) | [i] | ||